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REVIEW OF UNIT 4.

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Presentation on theme: "REVIEW OF UNIT 4."— Presentation transcript:

1 REVIEW OF UNIT 4

2 NONCALCULATOR PORTION OF REVIEW

3 Match the polynomial function to the graph.
_____1. y = x2 + 5x _____2. y = -x4+4x2 _____3. y = x4 – 4x2 _____4. y = -x4- 2x3 + 3 _____5. y = x3 + 2x2 – 5x _____6. y = 5x – x3 F A D B C E B. A. C. D. E. F.

4 Use the graph at the bottom to answer the following questions.
______7. How many real zeros does the function have? ______8. What is the minimum degree of the function? ______9. Is the leading coefficient negative or positive? 4 4 +

5 10. Given the graph of the function: f(x) = x3 – 2x2 – 9x – 2
Give exact answers for all real roots. Observed zero: -2 -2 8 2 1 -4 -1 x2 – 4x – 1 = 0 Use quadratic formula: Ans: -2,

6 _____________11. (5 + 2i) – (-2 + 4i)
Perform the indicated operation. Be sure to put your answers in proper form. _____________11. (5 + 2i) – (-2 + 4i) _____________12. (3 + i)(4 – 5i) _____________13. (5i)(-2i) _____________14. _____________15. Simplify: 7 – 2i 17 – 11i 10 - 4i

7 Solve by factoring. Give exact answers to all real and imaginary solutions.
_______________16. x4 – 6x + 5 = 0 _______________ x3 + 2x = 11x2 _______________18. f(x) = x4 - 16 1, -1, 2i, -2i, 2, -2 Solve the system of equation. _______________19. y = x2 – 10 y = x + 2 (4, 6) (-3, -1)

8 CALCULATOR PORTION OF REVIEW

9 Find all zeros, REAL and IMAGINARY. Give EXACT answers.
____________ 1. f(x) = - x3 – 3x2 – 7x – 10 ____________ 2. f(x) = x4 – 8x3 + 7x2 + 72x – 144 ____________ 3. f(x) = 2x3 – 5x2 + 3 Give REAL roots of the polynomial function to the nearest HUNDREDTH. __________________4. x4 + x3 = 15x2 + 10x – 20 Solve the system of inequalities. 5. y > x2 – 4x – 5 y > 2x – 7 Answer: -3, 4, 4, 3 -3.87, -1.6, .91, 3.56

10 Solve to the nearest hundredth.
___________________6. ___________________7. (-2.58, -2.28) (-1.63, .33)(1.63, .33)

11 STUDY HARD AND GOOD LUCK


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